Answer the questions about the key characteristics of the function below.

Question

1. Axis of symmetry blank
2. Does this fuction have a minimum or maximum?
3. X- intercept
4. Y- intercept

Minimum, maximum, x= 1.5, y=4
(0, -5), (0.5,0) and ( 0.5,0) and (2.5,0)
(-5,0) (0, 0.5) and (0, 2.5)

Answer 1

Based on the information you've provided, let's analyze the key characteristics of the function.

1. Axis of symmetry: Since you mentioned "x = 1.5," this indicates that the axis of symmetry for the function is at \( x = 1.5 \).

2. Minimum or maximum: You mentioned "minimum" as the key characteristic. Therefore, this function has a minimum point.

3. X-intercepts: The function has x-intercepts at \( (0.5, 0) \) and \( (2.5, 0) \). So the x-intercepts are \( x = 0.5 \) and \( x = 2.5 \).

4. Y-intercept: The y-intercept is given as \( (0, -5) \), which means the y-intercept is \( y = -5 \).

To summarize the characteristics:

• Axis of symmetry: \( x = 1.5 \)
• Minimum (no maximum)
• X-intercepts: \( 0.5, 2.5 \)
• Y-intercept: \( -5 \)